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Wind facilitates pathogen/pest dispersal and ecosystem destabilization, yet existing models frequently neglect saturation effects under extreme wind speeds. This paper studies an amensalism population model with a saturated wind effect, aiming to explore the nonlinear impact of wind on interspecific interactions in ecosystems. Wind plays a crucial role in ecosystems, not only affecting the diffusion and distribution of populations but also potentially altering population dynamics by enhancing or weakening interspecific interactions. However, existing research often overlooks the saturation effect of wind on interspecific interactions, where the impact of wind on interspecific interactions tends to stabilize when wind speed is too high. Based on the classical Lotka-Volterra amensalism model, this paper introduces a wind modulation function with a saturation effect to describe the nonlinear impact of wind speed on the amensalism coefficient. Through theoretical analysis and extensive numerical simulations, we investigate the dynamic behavior of the model and explore the impact of wind speed on the long-term stability of the victim and amensalist populations. The results show that the saturation effect of wind on amensalism significantly alters the population’s equilibrium state and stability conditions. Numerical simulations validate the theoretical findings and reveal the sensitivity of population dynamics to key parameters, including wind speed w, saturation coefficient κ, and windenhanced coefficient δ. Specifically, we demonstrate how varying these parameters influences the coexistence or extinction of the victim population, with critical thresholds identified for ecological sustainability. The model proposed in this paper provides a new theoretical framework for understanding the role of wind in ecosystems and offers scientific support for formulating relevant ecological management strategies. © 2025, International Association of Engineers. All rights reserved.
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Engineering Letters
ISSN: 1816-093X
Year: 2025
Issue: 7
Volume: 33
Page: 2620-2633
0 . 4 0 0
JCR@2023
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